As Juan continued his hitting practice, one of the balls flew over the center field stands and into the parking lot.  “Did you see that shot”, he yelled at the friends.  “The ball hung in the air for at least 10 seconds”, he exclaimed.   The formula for this hit is: h(x)=-16x^2+83x+4, where h is the height of the ball and x is the number of seconds the ball is in the air.   1. How can Juan provide proof that the ball actually hung in the air for 10 seconds?   2. How long did the ball hang actually hang in the air? Is Juan able to mathematically back up how long he says the ball was in the air?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
Section: Chapter Questions
Problem 55P
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As Juan continued his hitting practice, one of the balls flew over the center field stands and into the parking lot.  “Did you see that shot”, he yelled at the friends.  “The ball hung in the air for at least 10 seconds”, he exclaimed.

 

The formula for this hit is: h(x)=-16x^2+83x+4, where h is the height of the ball and x is the number of seconds the ball is in the air.

 

1. How can Juan provide proof that the ball actually hung in the air for 10 seconds?

 

2. How long did the ball hang actually hang in the air? Is Juan able to mathematically back up how long he says the ball was in the air?

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